Solve quadratic equation by factoring.

6x^2-6x-72=0

Answer:

Each hour the water will rise 10 in. After 4 hours the water will be 40 in deep. It will take 8 hours for the water to reach a depth of 80 in.

Answer:

Vertical angles are opposite angles that are formed from two intersecting lines. From this, the vertical angle to 3 is 5

Answer:

Step-by-step explanation:

<3 is a right angle so its opposite angle is vertical to it. The answer is <5.

Answer:

The parallelogram ABCD is what makes the parallelogram.

The proof given was AC and BD bisect each other.

Bisect means to divide into 2 parts. AC and BD both divide into 2 parts with each other.

But the lines need to be in 2 equal parts.

So if we were to divide it in that case, it would be able to bisect.

This is given proof that parallelogram ABCD is a parallelogram.

Answer:

Solution given:

ABCD is a parallegram.

In ∆ADE and ∆BCE

AD=BC[corresponding side of parallelogram are equal]

<AED=<BEC[ vertically opposite angle]

<ADE=<EBC[alternate angle]

so

∆ADE are congruent to ∆BCE by S.A.A. axiom

we have

DE=BE[corresponding side of congruent triangle are equal]

Similarly

AE=CE

we have

AC=BD

AE+CE=BE+DE

2AE=2BE

AE=BE

so.we can rightly say that AC and BD bisect each other.

Step-by-step explanation:

y = -4(x – 7)(x - 1)

= -4(x²-8x+7)

= -4x²+32x-28

Answer:

Nooooooooooooooooooooo

Answer:

Answer:

12 cm

Explanation:

From

Pythagoras Theorem

h

2

=

a

2

+

b

2

where

h =

Length of hypotenuse side

a =

Length of one leg

b =

Length of another leg

(

20 cm

)

2

=

(

16 cm

)

2

+

b

2

b

2

=

(

20 cm

)

2

−

(

16 cm

)

2

b

=

√

(

20 cm

)

2

−

(

16 cm

)

2

b

=

√

400 cm

2

−

256 cm

2

b

=

√

144 cm

2

b = 12 cmStep-by-step explanation:

Answer:

16 units

Step-by-step explanation:

For a right triangle, a²+b²=c², where a and b are leg lengths, and c is the hypotenuse. Given one leg length and the hypotenuse, we can find the other leg length by plugging in our given information:

a²+b²=c²

12²+b²=20²

144+b²=400

b²=256

b=16

Therefore, the missing leg length is 16 units.

Answer: D.

Step-by-step explanation: You can't have 2 y of the same y axis numbers in a function and A isn't correct because it doesn't go in order.

Answer:

Step-by-step explanation:

[tex] \frac{3 \times 2}{2 \times 2} = \frac{6}{4} \\ \\ \frac{6}{4} \: \: is \: not \: equal \: to \: \: \: \: \frac{6}{5} [/tex]

The ratio 3 / 2 is multiplied by 2 on both the denominator and numerator to get the value 6 / 4, but the denominator part is not equal to 5, hence  6/5 is not equivalent to 3/2, so option A is correct.

It is the comparison of one quantity with another. For example, if your weight is 30 kg and your father's weight is 90 kg, then the ratio of weight is 1:3.

Given:

6 / 5 and 3 / 2

As you can see the numerator of 3 / 2 is multiplied by 2 to get the value 6, so the denomination should also be multiplied by the number 2,

(3 × 2 ) / (2 × 2)

6 / 4

But the result came as 4 on the numerator,

Thus, 6 / 5 and 3 / 2 are not equivalent.

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Answer:

y=(x-1)^2 -1

Step-by-step explanation:

If you put it in the form (x-a)^2=b

The answer will be (x-1)^2=1

Answer:

a) The quotient rule is:

if: f(x) = 1/g(x)

Then:

[tex]f'(x) = -\frac{1}{(g(x))^2}*g'(x)[/tex]

In this case, we have:

G(x) = 1/x

Then we can write this as:

G(x) = 1/h(x) with h(x) = x, and h'(x) = 1

Using the above rule we get:

G'(x) = -(1/h(x)^2)*h'(x) = -1/x^2

b) For a function like:

f(x) = x^n

we have that:

[tex]f'(x) = n*x^{n - 1}[/tex]

Here we can write G(x) = x^-1

Then we have n = -1

If we use the above rule, we get:

[tex]G'(x) = (-1)*x^{-1-1} = -1*x^{-2} = \frac{-1}{x^2}[/tex]

So we got the same result using both methods.

Answer:

The answer is "32 and 4.6648".

Step-by-step explanation:

binomial distribution of x

probability of sucess[tex](P)=32\%=0.32[/tex]

randomly selected number by giraffes [tex]n=100[/tex]

now

[tex]\mu_x=np\\\\[/tex]

    [tex]=(100)(0.32)\\\\=32\\\\[/tex]

[tex]\Sigma_x=\sqrt{np(1-p)}[/tex]

     [tex]=\sqrt{100(0.32)(1-0.32)}\\\\=\sqrt{21.76}\\\\= 4.664761\\\\=4.6648[/tex]

Answer:

10.8

1.0392

Step-by-step explanation:

for the shape of the probability histogran it is D) Skewed left

Answer:

30/7 x 1/3 = 1 3/7 cm^3

Answer: =12x+9y

Step-by-step explanation: Hope this help :D

Answer:

x ≥ -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

-4x - 2 ≤ 10

Step 2: Solve for x

Here we see that any number x greater than or equal to -3 would work as a solution to the inequality.

Answer:

X=25

Step-by-step explanation:

All angles of a triangle add up for 180

We know that there is a 90 degree right angle.

So (x+25)+(2x-10)=180-90

Remove parenthesis since they don't matter in this problem.

x+25+2x-10=90

Combine similar terms

3x+15=90

Subtract 15 from both sides

3x=75

Divide both sides by 3

x=25

Answer:

Step-by-step explanation:

P(j=1st) =4/7

P(j=2nd) =3/6

P(j two in a row) = (4/7)*(3/6)= 12/42 = 6/21 = 2/7

P(j two in a row) = 2/7

Answer:

4, $17

2, $11

Step-by-step explanation:

Given data

Charge= $5

Additional Charge= $3 per hour

The total charge will be

y= 5+3x

Number of hours

1. for  4 hours

The total will be

y= 5+3(4)

y= 5+12

y= $17

2. for  2 hours

The total will be

y= 5+3(2)

y= 5+6

y= $11

Answer:

D

Step-by-step explanation:

Answer:

(a) 1

Step-by-step explanation:

In each outcome triplet, each flip has a chance to be H or T. Thus, the following describes all the possible outcomes:

We see that the only option without one tail is the first one, HHH, so the answer is (a) 1.

Answer:

([-3], [0]), ([3], [0])

Step-by-step explanation:

The given equation of the hyperbola is presented as follows;

[tex]\dfrac{x^2}{9} - \dfrac{y^2}{49} = 1[/tex]

The vertices of an hyperbola (of the form)  [tex]\dfrac{x^2}{a^2} - \dfrac{y^2}{b^2} = 1[/tex] are (± a, 0)

The given hyperbola can we presented in a similar form as follows;

[tex]\dfrac{x^2}{9} - \dfrac{y^2}{49} = \dfrac{x^2}{3^2} - \dfrac{y^2}{7^2} = 1[/tex]

Therefore, by comparison, the vertices of the parabola are (± 3, 0), which gives;

The vertices of the parabola are ([-3], [0]), ([3], [0]).

Answer:

uniform for 1 student = 1 1/8 = 9/8

uniform 32 students = 32 x 9/8 = 36m

Total cloth = 45 3/4 = 183/4 = 45.75m

Cloth left = 45.75 - 36 = 9.75m i hope that helps

Answer:

Step-by-step explanation:

x/9=8/12

8/12=4/6=2/3

9

3*3

9*1

2/3*3/3=6/9

Hope this helped,

Kavitha

Answer: C. x=6

Step-by-step explanation: x/9=8/12

8/12/2/2=4/6/2/2=2/3

2×9/3

18/3

x=6

​  

Answer:

Next term is 31

Step-by-step explanation:

The numbers keep going up by 7.

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Answer:

I would say a parrallelogram

Step-by-step explanation:

im going to guess it's [tex]\frac{1}{4}[/tex]

Answer:

Hope it helps :)

The first two logarithmic expressions are true and the third one is false.

The logarithm is exponentiation's opposite function in mathematics.

This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 100 = 10², the logarithm of 100 in base 10 is 2, or log10 = 2.

Given, [tex]4log_3c + 4log_3d = 4log_3cd[/tex].

= [tex]log_3(cd)^4[/tex] it is true.

[tex]\frac{3}{4}(lna + lnb) = \frac{3}{4}ln(ab)[/tex].

= [tex]ln(ab)^{\frac{4}{3}}[/tex] it is true.

[tex]3lne + 2lnf = lne^3 + lnf^2[/tex].

= [tex]ln(e^3f^2)[/tex] it is false.

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Answer:

54/81 is the answer

Step-by-step explanation: